cho da thuc q(x)=ax^2 +bx +c .biet Q(1),Q(-1),Q(0) la so nguyen.cmr voi moi x nguyen thi Q(x) nguyen
Cho f(x)=ax^2+bx+c. Biet f(0), f(1), f(2) la so nguyen. Chung minh f(x) luon nhan gia tri nguyen voi moi x nguyen
Cho da thuc f(x)= ax^2+bx+c bang 0 voi moi gia tri cua x chung minh a=b=c=0
Cho y=f(x)=ax^3+bx^2+cx+d. Biet hamso nhan gia tri nguyen voi moi x nguyen. CM 6a, 2b, a+b+c la cac so nguyen.
CM dieu nguoc lai.
bai 1: Cho cac don thuc A=-4/9x^3y va B= 3/8 x^5y^3. Tim cac cap gia tri (x;y)de A,B cung gia tri am
bai 2: viet don thuc B=64xy^12 duoi dang luy thua cua 1 don thuc voi so mu khac 1
bai 3: cho A=8x^5y^3; B=-3x^6y^3; C=-6x^7y^2. CM: Ax^2+Bx+C>0
2 da thuc ax^2+bx+c va ax'^2+bx'+c bang nhau voi moi x chung minh rang a=a' b=b' c=c'
cho don thuc 3(a+1/a)x^4y^2 voi a la hang so ,a khac 0
a)tim a de da thuc luon khong am voi moi x,y
b)tim a de da thuc luon khong duong voi moi x,y
cho f(x)=ax^2+bx+c
bieets f(x)chia het cho 3 voi moi gia tri cua x. chung minh a,b,c deu chia het cho 3
cho M(x)=ax^3+bx^2+cx+d. biet m(x) chia het cho 3 voi moi x.cm: a,b,c,d chia het cho 3
